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Finding the Third Proportional to 1,446,784 and 3,142,648

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Solution

The third proportional to 1,446,784 and 3,142,648 is: 6,826,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,784 : 3,142,648 = 3,142,648 : x
  2. Step 2: Convert to fraction form
    1,446,784/3,142,648 = 3,142,648/x
  3. Step 3: Cross multiply
    1,446,784x = 3,142,648 × 3,142,648
  4. Step 4: Simplify right side
    1,446,784x = 9,876,236,451,904
  5. Step 5: Solve for x
    x = 9,876,236,451,904/1,446,784
  6. Step 6: Final answer
    x = 6,826,337.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.